TSTP Solution File: SWW307+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW307+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:31:58 EDT 2024
% Result : Theorem 1.04s 0.99s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 12 unt; 0 def)
% Number of atoms : 154 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 135 ( 49 ~; 58 |; 9 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-5 aty)
% Number of variables : 140 ( 130 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8449,plain,
$false,
inference(avatar_sat_refutation,[],[f5638,f5647,f5738,f5743,f5758,f8014,f8443]) ).
fof(f8443,plain,
( spl21_2
| ~ spl21_10 ),
inference(avatar_contradiction_clause,[],[f8442]) ).
fof(f8442,plain,
( $false
| spl21_2
| ~ spl21_10 ),
inference(subsumption_resolution,[],[f8346,f5642]) ).
fof(f5642,plain,
( ~ hBOOL(v_C)
| spl21_2 ),
inference(avatar_component_clause,[],[f5640]) ).
fof(f5640,plain,
( spl21_2
<=> hBOOL(v_C) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f8346,plain,
( hBOOL(v_C)
| ~ spl21_10 ),
inference(unit_resulting_resolution,[],[f5737,f5608]) ).
fof(f5608,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X1),X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f5318]) ).
fof(f5318,plain,
! [X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X0)) ),
inference(rectify,[],[f5222]) ).
fof(f5222,axiom,
! [X22,X23] :
( hBOOL(X22)
| ~ hBOOL(hAPP(hAPP(c_fconj,X23),X22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5737,plain,
( hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C)))),v_C))
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f5735]) ).
fof(f5735,plain,
( spl21_10
<=> hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C)))),v_C)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f8014,plain,
( spl21_11
| ~ spl21_12 ),
inference(avatar_split_clause,[],[f7903,f5755,f5740]) ).
fof(f5740,plain,
( spl21_11
<=> hBOOL(hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f5755,plain,
( spl21_12
<=> hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))),v_C)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f7903,plain,
( hBOOL(hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)))
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f5757,f5609]) ).
fof(f5609,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X1),X0))
| hBOOL(X1) ),
inference(cnf_transformation,[],[f5319]) ).
fof(f5319,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X0)) ),
inference(rectify,[],[f5221]) ).
fof(f5221,axiom,
! [X22,X23] :
( hBOOL(X23)
| ~ hBOOL(hAPP(hAPP(c_fconj,X23),X22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5757,plain,
( hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))),v_C))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f5755]) ).
fof(f5758,plain,
( spl21_12
| spl21_1
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f5753,f5644,f5635,f5755]) ).
fof(f5635,plain,
( spl21_1
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f5644,plain,
( spl21_3
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f5753,plain,
( hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))),v_C))
| spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f5752,f5585]) ).
fof(f5585,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f5303]) ).
fof(f5303,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(rectify,[],[f5211]) ).
fof(f5211,axiom,
! [X31,X22,X23,X37,X4,X16] : hAPP(hAPP(hAPP(c_COMBB(X16,X4,X37),X23),X22),X31) = hAPP(X23,hAPP(X22,X31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5752,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),v_C))
| spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f5751,f5585]) ).
fof(f5751,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P),sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),v_C))
| spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f5750,f5574]) ).
fof(f5574,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
inference(cnf_transformation,[],[f5297]) ).
fof(f5297,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
inference(rectify,[],[f5212]) ).
fof(f5212,axiom,
! [X31,X22,X23,X4,X37,X16] : hAPP(hAPP(hAPP(c_COMBC(X16,X37,X4),X23),X22),X31) = hAPP(hAPP(X23,X31),X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5750,plain,
( hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P),sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P))),v_C),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)))
| spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f5749,f5585]) ).
fof(f5749,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P)),sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),v_C),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)))
| spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f5681,f5574]) ).
fof(f5681,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)))
| spl21_1
| ~ spl21_3 ),
inference(unit_resulting_resolution,[],[f5646,f5637,f5482]) ).
fof(f5482,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X0,sK5(X0,X3)),sK6(X0,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5405]) ).
fof(f5405,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ( ~ hBOOL(hAPP(hAPP(X3,sK5(X0,X3)),sK6(X0,X3)))
& hBOOL(hAPP(hAPP(X0,sK5(X0,X3)),sK6(X0,X3))) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f5341,f5404]) ).
fof(f5404,plain,
! [X0,X3] :
( ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X3,X6),X7))
& hBOOL(hAPP(hAPP(X0,X6),X7)) )
=> ( ~ hBOOL(hAPP(hAPP(X3,sK5(X0,X3)),sK6(X0,X3)))
& hBOOL(hAPP(hAPP(X0,sK5(X0,X3)),sK6(X0,X3))) ) ),
introduced(choice_axiom,[]) ).
fof(f5341,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X3,X6),X7))
& hBOOL(hAPP(hAPP(X0,X6),X7)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(flattening,[],[f5340]) ).
fof(f5340,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X3,X6),X7))
& hBOOL(hAPP(hAPP(X0,X6),X7)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(ennf_transformation,[],[f5254]) ).
fof(f5254,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( ! [X6,X7] :
( hBOOL(hAPP(hAPP(X0,X6),X7))
=> hBOOL(hAPP(hAPP(X3,X6),X7)) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X23,X22,X20,X30,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X30,X20,X22)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool))))
=> ( ! [X24,X25] :
( hBOOL(hAPP(hAPP(X23,X24),X25))
=> hBOOL(hAPP(hAPP(X30,X24),X25)) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X23,X20,X22)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5637,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| spl21_1 ),
inference(avatar_component_clause,[],[f5635]) ).
fof(f5646,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f5644]) ).
fof(f5743,plain,
( ~ spl21_11
| spl21_1
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f5683,f5644,f5635,f5740]) ).
fof(f5683,plain,
( ~ hBOOL(hAPP(hAPP(v_P,sK5(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)),sK6(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_P)))
| spl21_1
| ~ spl21_3 ),
inference(unit_resulting_resolution,[],[f5646,f5637,f5483]) ).
fof(f5483,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X3,sK5(X0,X3)),sK6(X0,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X0,X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5405]) ).
fof(f5738,plain,
( spl21_10
| spl21_1 ),
inference(avatar_split_clause,[],[f5733,f5635,f5735]) ).
fof(f5733,plain,
( hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(v_P,sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C)))),v_C))
| spl21_1 ),
inference(forward_demodulation,[],[f5732,f5585]) ).
fof(f5732,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(v_P,sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C)))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),v_C))
| spl21_1 ),
inference(forward_demodulation,[],[f5731,f5585]) ).
fof(f5731,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P),sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),v_C))
| spl21_1 ),
inference(forward_demodulation,[],[f5730,f5574]) ).
fof(f5730,plain,
( hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P),sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C)))),v_C),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))))
| spl21_1 ),
inference(forward_demodulation,[],[f5729,f5585]) ).
fof(f5729,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P)),sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),v_C),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))))
| spl21_1 ),
inference(forward_demodulation,[],[f5686,f5574]) ).
fof(f5686,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),sK15(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))),sK16(v_Q,v_c,v_G,t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C))))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f5637,f5570]) ).
fof(f5570,plain,
! [X2,X3,X0,X1,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X4,sK15(X0,X1,X2,X3,X4)),sK16(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f5432]) ).
fof(f5432,plain,
! [X0,X1,X2,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK16(X0,X1,X2,X3,X4))),X1,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,sK15(X0,X1,X2,X3,X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,sK15(X0,X1,X2,X3,X4)),sK16(X0,X1,X2,X3,X4))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f5373,f5431]) ).
fof(f5431,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6)),X1,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,X5),X6)) )
=> ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK16(X0,X1,X2,X3,X4))),X1,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,sK15(X0,X1,X2,X3,X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,sK15(X0,X1,X2,X3,X4)),sK16(X0,X1,X2,X3,X4))) ) ),
introduced(choice_axiom,[]) ).
fof(f5373,plain,
! [X0,X1,X2,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ? [X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6)),X1,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,X5),X6)) ) ),
inference(ennf_transformation,[],[f5295]) ).
fof(f5295,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(hAPP(X4,X5),X6))
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6)),X1,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X22,X20,X3,X4,X23] :
( ! [X24,X25] :
( hBOOL(hAPP(hAPP(X23,X24),X25))
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X4),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X25)),X20,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X4),hAPP(X22,X24)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X23,X20,X22)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5647,plain,
( ~ spl21_2
| spl21_3 ),
inference(avatar_split_clause,[],[f5450,f5644,f5640]) ).
fof(f5450,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(v_C) ),
inference(cnf_transformation,[],[f5325]) ).
fof(f5325,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(v_C) ),
inference(ennf_transformation,[],[f5229]) ).
fof(f5229,axiom,
( hBOOL(v_C)
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5638,plain,
~ spl21_1,
inference(avatar_split_clause,[],[f5449,f5635]) ).
fof(f5449,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5232]) ).
fof(f5232,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(flattening,[],[f5231]) ).
fof(f5231,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(negated_conjecture,[],[f5230]) ).
fof(f5230,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBC(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),v_C),v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW307+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:20:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.69 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.69 % (7477)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7471)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7472)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7473)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7474)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7475)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.47/0.72 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.72 % (7476)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.50/0.77 % (7477)Instruction limit reached!
% 0.50/0.77 % (7477)------------------------------
% 0.50/0.77 % (7477)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.50/0.77 % (7477)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.50/0.77 % (7477)Termination reason: Time limit
% 0.50/0.77 % (7477)Termination phase: Saturation
% 0.50/0.77
% 0.50/0.77 % (7477)Memory used [KB]: 8943
% 0.50/0.77 % (7477)Time elapsed: 0.079 s
% 0.50/0.77 % (7477)Instructions burned: 283 (million)
% 0.60/0.81 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (7478)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 0.60/0.82 % (7475)Instruction limit reached!
% 0.60/0.82 % (7475)------------------------------
% 0.60/0.82 % (7475)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.82 % (7475)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.82 % (7475)Termination reason: Time limit
% 0.60/0.82 % (7475)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (7475)Memory used [KB]: 8114
% 0.60/0.82 % (7475)Time elapsed: 0.107 s
% 0.60/0.82 % (7475)Instructions burned: 252 (million)
% 0.60/0.85 % (7476)Instruction limit reached!
% 0.60/0.85 % (7476)------------------------------
% 0.60/0.85 % (7476)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.85 % (7476)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.85 % (7476)Termination reason: Time limit
% 0.60/0.85 % (7476)Termination phase: Saturation
% 0.60/0.85
% 0.60/0.85 % (7476)Memory used [KB]: 7180
% 0.60/0.85 % (7476)Time elapsed: 0.130 s
% 0.60/0.85 % (7476)Instructions burned: 349 (million)
% 0.60/0.85 % (7478)Instruction limit reached!
% 0.60/0.85 % (7478)------------------------------
% 0.60/0.85 % (7478)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.85 % (7478)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.85 % (7478)Termination reason: Time limit
% 0.60/0.85 % (7478)Termination phase: Preprocessing 3
% 0.60/0.85
% 0.60/0.85 % (7478)Memory used [KB]: 8435
% 0.60/0.85 % (7478)Time elapsed: 0.047 s
% 0.60/0.85 % (7478)Instructions burned: 125 (million)
% 0.60/0.86 % (7468)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.86 % (7479)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.04/0.88 % (7468)Running in auto input_syntax mode. Trying TPTP
% 1.04/0.88 % (7480)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 1.04/0.89 % (7468)Running in auto input_syntax mode. Trying TPTP
% 1.04/0.89 % (7481)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.04/0.96 % (7481)Instruction limit reached!
% 1.04/0.96 % (7481)------------------------------
% 1.04/0.96 % (7481)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.04/0.96 % (7481)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.04/0.96 % (7481)Termination reason: Time limit
% 1.04/0.96 % (7481)Termination phase: Saturation
% 1.04/0.96
% 1.04/0.96 % (7481)Memory used [KB]: 8194
% 1.04/0.96 % (7481)Time elapsed: 0.075 s
% 1.04/0.96 % (7481)Instructions burned: 270 (million)
% 1.04/0.97 % (7479)Instruction limit reached!
% 1.04/0.97 % (7479)------------------------------
% 1.04/0.97 % (7479)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.04/0.97 % (7479)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.04/0.97 % (7479)Termination reason: Time limit
% 1.04/0.97 % (7479)Termination phase: Equality resolution with deletion
% 1.04/0.97
% 1.04/0.97 % (7479)Memory used [KB]: 14840
% 1.04/0.97 % (7479)Time elapsed: 0.115 s
% 1.04/0.97 % (7479)Instructions burned: 404 (million)
% 1.04/0.98 % (7480)First to succeed.
% 1.04/0.99 % (7480)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7468"
% 1.04/0.99 % (7468)Running in auto input_syntax mode. Trying TPTP
% 1.04/0.99 % (7480)Refutation found. Thanks to Tanya!
% 1.04/0.99 % SZS status Theorem for theBenchmark
% 1.04/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.99 % (7480)------------------------------
% 1.04/0.99 % (7480)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.04/0.99 % (7480)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.04/0.99 % (7480)Termination reason: Refutation
% 1.04/0.99
% 1.04/0.99 % (7480)Memory used [KB]: 7336
% 1.04/0.99 % (7480)Time elapsed: 0.105 s
% 1.04/0.99 % (7480)Instructions burned: 321 (million)
% 1.04/0.99 % (7480)------------------------------
% 1.04/0.99 % (7480)------------------------------
% 1.04/0.99 % (7468)Success in time 0.347 s
%------------------------------------------------------------------------------